POST UTME UNIBEN 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8 nF, what is the charge stored when the potential difference between the plates is 10 V?
A. 8 x 10^-10 C
B. 4 x 10^-10 C
C. 16 x 10^-10 C
D. 32 x 10^-10 C
Question 2
A light ray is incident on a glass slab at an angle of incidence $\theta_i$. If the re\fractive index of the glass is $n$, find the value of the angle of re\fraction $\theta_r$ in terms of $\theta_i$ and $n$.
A. \frac{n\theta_i}{n-1}
B. \frac{n-1}{n\theta_i}
C. \frac{n\theta_i}{n+1}
D. \frac{n+1}{n\theta_i}
Question 3
A magnetic field is produced by a current-carrying wire. If the current in the wire is 5 A and the length of the wire is 0.5 m, what is the magnetic field strength at a dis\tance of 0.2 m from the wire?
A. 0.1 T
B. 0.2 T
C. 0.3 T
D. 0.4 T
Question 4
A projectile is launched from the ground with an initial velocity $v_0$ at an angle of elevation $\theta$. If the projectile is subject to a cons\tant acceleration due to gravity $g$, find the maximum height $h$ reached by the projectile in terms of $v_0$, $\theta$, and $g$.
A. \frac{v_0^2\sin^2\theta}{2g}
B. \frac{v_0^2\cos^2\theta}{2g}
C. \frac{v_0^2\sin\theta}{2g}
D. \frac{v_0^2\cos\theta}{2g}
Question 5
A circuit consists of a resistor $R$ and an inductor $L$ connected in series. If the circuit is driven by an alternating voltage source of frequency $f$, find the impedance $Z$ of the circuit in terms of $R$, $L$, and $f$.
A. \sqrt{R^2 + \( 2\pi f L \)^2}
B. \frac{R}{2\pi f L}
C. \frac{2\pi f L}{R}
D. \frac{R}{2\pi f L}
Question 6
A 5 kg body is moving in a straight line with an initial velocity of 10 m/s. If the body experiences a cons\tant acceleration of 2 m/s², what is its velocity after 5 seconds?
A. 15 m/s
B. 20 m/s
C. 25 m/s
D. 30 m/s
Question 7
A gas is enclosed in a cylinder with a movable piston. If the pressure of the gas is 100 kPa and the volume is 0.5 m^3, what is the work done by the gas when the volume is increased to 1.0 m^3?
A. 50 x 10^3 J
B. 100 x 10^3 J
C. 200 x 10^3 J
D. 500 x 10^3 J
Question 8
A 5 mH inductor is connected in series with a 10 Ω resistor. If a 12 V battery is connected across the circuit, calculate the inductive reac\tance of the circuit.
A. 10 Ω
B. 20 Ω
C. 30 Ω
D. 40 Ω
Question 9
A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, find the value of $d$ in terms of $A$ and $C$.
A. \frac{A}{C}
B. \frac{AC}{d}
C. \frac{Cd}{A}
D. \frac{A}{Cd}
Question 10
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 0.1 m from its equilibrium position and released, what is the maximum speed of the block?
A. 0.447 m/s
B. 0.894 m/s
C. 1.414 m/s
D. 2.828 m/s
Question 11
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a centripetal force $F_c$, find the value of $F_c$ in terms of $m$, $v$, and $r$.
A. \frac{mv^2}{r}
B. \frac{mv}{r}
C. \frac{m}{vr}
D. \frac{r}{mv}
Question 12
A body of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. What is the magnitude of the force acting on the body?
A. 10 N
B. 12 N
C. 15 N
D. 20 N
Question 13
A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 30°
C. 40°
D. 50°
Question 14
A capacitor of capaci\tance 10 μF is connected in series with a 5 Ω resistor and a 10 V battery. If the current through the circuit is 0.2 A, what is the potential difference across the capacitor?
A. 2 V
B. 3 V
C. 4 V
D. 5 V
Question 15
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial volume is 2 L, calculate the final volume of the gas.
A. 1.33 L
B. 2.33 L
C. 3.33 L
D. 4.33 L

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: